rabbani (tar547) – HW05 – Radin – (56635)
1
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001
10.0 points
Determine the volume oF the right circular
cone generated by rotating the line
x
=
3
4
y
about the
y
axis between
y
= 0 and
y
= 3.
1.
V
=
33
16
π
cu.units
2.
V
=
49
16
π
cu.units
3.
V
=
81
16
π
cu.units
4.
V
=
17
16
π
cu.units
5.
V
=
65
16
π
cu.units
002
10.0 points
±ind the volume,
V
, oF the solid obtained
by rotating the region bounded by
y
= 4
x
2
,
x
= 0
,
y
= 3
about the
y
axis.
1.
V
=
3
4
π
cu. units
2.
V
=
9
8
π
cu. units
3.
V
=
3
4
cu. units
4.
V
=
9
16
π
cu. units
5.
V
=
9
8
cu. units
6.
V
=
9
16
cu. units
003
10.0 points
±ind the volume,
V
, oF the solid obtained
by rotating the bounded region in the frst
quadrant enclosed by the graphs oF
y
=
x
2
,
x
=
y
4
about the
x
axis.
1.
V
=
7
15
π
cu. units
2.
V
=
5
12
π
cu. units
3.
V
=
5
12
cu. units
4.
V
=
1
2
π
cu. units
5.
V
=
7
15
cu. units
6.
V
=
1
2
cu. units
004
10.0 points
±ind the volume,
V
, oF the solid generated
by rotating about the
x
axis the region en
closed by the graphs oF
y
= sec
x, x
= 0
, y
= 0
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 Spring '08
 RAdin
 Logarithm, cu. units, Rabbani

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